DESIGN OF STEEL STRUCTURES

Transcription

1 DESIGN OF STEEL STRUCTURES OBJECTIVE: This course covers the design of structural steel members subjected to compressive, tensile and bending loads, as per current codal provisions (IS ) including connections. Design of structural systems such as roof trusses, gantry girders are included. UNIT I INTRODUCTION 12 Properties of steel Structural steel sections Limit State Design Concepts Loads on Structures Metal joining methods using rivets, welding, bolting Design of bolted, riveted and welded joints Eccentric connections - Efficiency of joints High Tension bolts UNIT II TENSION MEMBERS 8 Types of sections Net area Net effective sections for angles and Tee in tension Design of connections in tension members Use of lug angles Design of tension splice Concept of shear lag UNIT III COMPRESSION MEMBERS 16 Types of compression members Theory of columns Basis of current codal provision for compression member design Slenderness ratio Design of single section and compound section compression members Design of lacing and battening type columns Design of column bases Gusseted base UNIT IV BEAMS 12 Design of laterally supported and unsupported beams Built up beams Beams subjected to biaxial bending Design of plate girders riveted and welded Intermediate and bearing stiffeners Web splices Design of beam columns UNIT V ROOF TRUSSES AND INDUSTRIAL STRUCTURES 12 Roof trusses Roof and side coverings Design loads, design of purlin and elements of truss; end bearing Design of gantry girder TUTORIAL: 15 TOTAL: 60 PERIODS TEXT BOOKS 1. Dayaratnam, P., Design of Steel Structures, Second edition, S. Chand & Company, Ramachandra, S. and Virendra Gehlot, Design of Steel Structures Vol. I & II, Standard Publication, New Delhi, 2007 REFERENCES 1. Teaching Resources for Structural Steel Design Vol. I & II, INSDAG, Kolkatta. 2. Gaylord, E.H., Gaylord, N.C., and Stallmeyer, J.E., Design of Steel Structures, 3rd edition, McGraw-Hill Publications, Negi L.S.. Design of Steel Structures, Tata McGraw Hill Publishing Pvt Ltd, New Delhi, IS Indian Standard General Construction in Steel code of practice (3rd Revision).

2 Contents 1. INTRODUCTION PROPERTIES OF STRUCTURAL STEEL Physical properties Mechanical properties Stress - strain behaviour: tensile test Hardness Notch Toughness ROLLED STEEL SECTIONS Conventions for member axes GENERAL DESIGN REQUIREMENTS Basis for Design Design Objective Methods of Design Design Process Loads and Forces Dead loads (Cl of IS 800:2007) Imposed Loads (Cl of IS 800:2007) Wind loads (Cl of IS 800:2007) Earthquake loads (Cl of IS 800:2007) Erection Loads (Cl. 3.3 of IS 800:2007) Temperature Effects (Cl. 3.4 of IS 800:2007) Load Combinations Geometrical Properties Classification of Cross Sections Class 1 (Plastic) Class 2 (Compact) Class 3 (Semi compact) Class 4 (Slender) Types of Elements Internal elements Outside elements or outstands Tapered elements Maximum Effective Slenderness Ratio LIMIT STATE DESIGN Basis for Design Limit State Design philosophy The limit states of strength The limit state of serviceability Actions Classification of Actions Characteristic Actions (Loads) Design Actions Strength Design Strength Factors Governing the Ultimate Strength Stability Stability against overturning

3 Sway stability Fatigue Plastic Collapse Limit State of Serviceability Deflection Vibration Durability Fire Resistance Design of connections Types of connections Classification based on the connector Classification based on the fixity of the joint Selections of type of connection Bolted connections Classification of bolts Black bolts Turned and fitted bolts High Strength Friction Grip bolts (HSFG) Classifications of bolt connections Based on the resultant force transferred Based on the type of force On the basis of force transfer mechanism Failure of bolted connections Specification of bolted joints Diameter of the bolts Pitch Minimum pitch Maximum Spacing Edge and End Distances Tacking Fasteners Combination of fasteners Shear connections with bearing type bolts Force transfer of bearing type bolts Design shear strength of bearing type bolts Shearing of bolts Bearing failure Shear connections with HSFG bolts Force transfer of HSFG bolts Design shear strength of HSFG bolts Slip Resistance Bearing strength Welded connecction Introduction Types of welded connections Based on the type of weld Groove welds (butt welds Fillet welds Slot and plug welds Based on the position of weld Based on the type of joints Advantages and disadvantages of welded joints

4 6.4. Welding process Weld defects Incomplete fusion Incomplete penetration Porosity Slag inclusion Undercutting Inspection of welds Magnetic particle method Dye penetration method Ultrasonic method Radiography Assumptions in the analysis of welded joints analysis and Design of butt(groove) welds Reinforcement in Groove Welds Size of Groove Welds Effective area of Groove Welds Design strength of Groove welds Butt welds subjected to combination of stresses Analysis and design of fillet welds Size of Fillet weld Effective throat thickness of fillet welds Effective length of fillet welds Effective area of fillet welds Design strength of fillet welds Long joints Fillet weld subjected to individual stresses Fillet welds subjected to combination of stresses Failure of welds Butt weld End fillet weld Side fillet weld Tension members General Types of tension members Wires, strands and cables Bars and rods Plates and flat bars Structural sections Built up sections Failure modes for tension members Design consideration of tension members Design Strength due to Yielding of Gross Section Design Strength due to Rupture Strength of Critical Section Design Strength due to Rupture Strength of Critical Section for plates Design Strength due to Rupture Strength of Critical Section for plates

5 Design Strength due to Rupture Strength of Critical Section for Other Section Design of compression members Design of beams Plate girders Solved problems Two Mark Questions and Answers

6 List of Figures Figure 1 Standard specimen for tensile test Figure 2 Stress - Strain curve for mild steel Figure 3 Stress - Strain curve for high strength steel Figure 4 Standard Rolled Sections... 4 Figure 5 Axes of Members... 5 Figure 6 A Bolt Figure 7 Tightening of HSFG bolts Figure 8 Hole types for HSFG bolts Figure 9 Concentric Connection Figure 10 Moment Connection Figure 11 Shear Connection Figure 12 Tension connection Figure 13 Bearing connection Figure 14 Friction Connection Figure 15 Type of joints Figure 16 Types of Groove Welds Figure 17 Types of Fillet Welds Figure 18 Welding Process Figure 19 Weld Defects Figure 20 Groove Welds Figure 21 Complete Penetration Groove Welds Figure 22 Partial Penetration Groove Welds Figure 23 Leg Length of Fillet Weld Figure 24 Fillet Welds on square edge of plate or round toe of rolled section Figure 25 Full size Fillet Weld applied to the edge of a Plate or a Section Figure 26 End fillet weld normal to the direction of force Figure 27 Plates with bolt hoes in tension Figure 28 Angles with single leg connection

7 List of Tables Table 1. Tensile Properties of Structural Steel Products Table 2 Partial safety factors for loads for limit states Table 3 Limiting Width to Thickness Ratio Table 4 Maximum effective slenderness ratio Table 5 Tensile area of ordinary bolts (Grade 4.6) Table 6 Minimum size of first run or of a single run fillet weld Table 7 Values of K for different angles Table 8 Partial Safety Factors for Materials 6

8 1. INTRODUCTION Ever since steel began to be used in the construction of structures, it has made possible some of the grandest structures both in the past and also in the present day. Steel is by far the most useful material for building structures with strength of approximately ten times that of concrete, steel is the ideal material for modern construction. Due to its large strength to weight ratio, steel structures tend to be more economical than concrete structures for tall buildings and large span buildings and bridges. Steel structures can be constructed very fast and this enables the structure to be used early thereby leading to overall economy. Steel structures are ductile and robust and can withstand severe loadings such as earthquakes. Steel structures can be easily repaired and retrofitted to carry higher loads. Steel is also a very eco-friendly material and steel structures can be easily dismantled and sold as scrap. Thus the lifecycle cost of steel structures, which includes the cost of construction, maintenance, repair and dismantling, can be less than that for concrete structures. Since steel is produced in the factory under better quality control, steel structures have higher reliability and safety. To get the most benefit out of steel, steel structures should be designed and protected to resist corrosion and fire. They should be designed and detailed for easy fabrication and erection. Good quality control is essential to ensure proper fitting of the various structural elements. The effects of temperature should be considered in design. To prevent development of cracks under fatigue and earthquake loads the connections and in particular the welds should be designed and detailed properly. Special steels and protective measures for corrosion and fire are available and the designer should be familiar with the options available. A steel structure, like any other, is an assemblage of a group of members which contribute to resist the total load and thereby transfer the loads safely to ground. This consist members subjected to various actions like axial forces (Compression & Tension), bending, shear, torsion etc or a combination of these. The elements are connected together by means of rivets, pins or welds. Depending on the fixity of these joints, the connections are classified as rigid, semi rigid and flexible PROPERTIES OF STRUCTURAL STEEL The properties of structural steel, as per clause of IS 800:2007, for use in design, may be taken as given in clauses and of the code Physical properties Physical properties of structural steel, as detailed by cl of IS 800:2007, irrespective of its grade may be taken as: a) Unit mass of steel, p = 7850 kg/m 3 b) Modulus of elasticity, E = 2.0x10 5 N/mm 2 (MPa) c) Poisson ratio, p = 0.3 d) Modulus of rigidity, G = 0.769x10 5 N/mm 2 (MPa) e) Coefficient of thermal expansion c x.=12x10-6 / 0 C Mechanical properties The principal mechanical properties of the structural steel important in design, as detailed by the code IS 800:2007 in cl , are the yield stress, f y ; the tensile or ultimate stress, f u ; the maximum percent elongation on a standard gauge length and notch toughness. Except for notch toughness, the other properties are determined by conducting tensile tests on samples cut from the plates, sections, etc, in accordance with IS Commonly used properties for the common steel products of different specifications are summarized in Table 1 of IS 800:2007. Highlights of the table are reproduced for ready reference as Table 1. 7

9 Table 1. Tensile Properties of Structural Steel Products IS Code Grade Yield stress (Mpa) min Ultimate tensile Elongation Percent (for d or t) stress (MPa) min < >40 min E 165 (Fe 290) E250(Fe410W)A E250(Fe 410 W)B E250(Fe 410 W)C IS 2062 E 300 (Fe 440) E 350 (Fe 490) E 410 (Fe 540) E 450 (Fe 570) D E 450 (Fe 590) E Stress - strain behaviour: tensile test The stress-strain curve for steel is generally obtained from tensile test on standard specimens as given in Figure 1. The details of the specimen and the method of testing is elaborated in IS: 1608 (1995). The important parameters are the gauge length L c and the initial cross section area S o. The loads are applied through the threaded or shouldered ends. The initial gauge length is taken as 5.65 S o in the case of rectangular specimen and it is five times the diameter in the case of circular specimen. A typical stress-strain curve of the tensile test coupon is shown in Figure 2 in which a sharp change in yield point followed by plastic strain is observed. After a certain amount of the plastic deformation of the material, due to reorientation of the crystal structure an increase in load is observed with increase in strain. This range is called the strain hardening range. After a little increase in load, the specimen eventually fractures. After the failure it is seen that the fractured surface of the two pieces form a cup and cone arrangement. This cup and cone fracture is considered to be an indication of ductile fracture. It is seen from Figure 2 that the elastic strain is up to ε y followed by a yield plateau between strains ε y and ε sh and a strain hardening range start at ε sh and the specimen fail at ε ult where ε y, ε sh and ε ult are the strains at onset of yielding, strain hardening and failure respectively. Depending on the steel used, ε sh generally varies between 5 and 15 ε y, with an average value of 10 ε y typically used in many applications. For all structural steels, the modulus of elasticity can be taken as 205,000 MPa and the tangent modus at the onset of strain hardening is roughly 1/30th of that value or approximately 6700 MPa. High strength steels, due to their specific microstructure, do not show a sharp yield point but rather they yield continuously as shown in Figure 2. For such steels the yield stress is always taken as the stress at which a line at 0.2% strain, parallel to the elastic portion, intercepts the stress strain curve. 8

10 Figure 1 Standard specimen for tensile test. The nominal stress or the engineering stress is given by the load divided by the original area. Similarly, the engineering strain is taken as the ratio of the change in length to original length. Figure 2 Stress - Strain curve for mild steel Hardness Figure 3 Stress - Strain curve for high strength steel. Hardness is regarded as the resistance of a material to indentations and scratching. This is generally determined by forcing an indentor on to the surface. The resultant deformation in steel is both elastic and plastic. There are several methods using which the hardness of a metal could be found out. They basically differ in the form of the indentor, which is used on to the surface. Brinell hardness usually uses steel balls where as Vickers hardness uses square based diamond pyramid with and Rockwell hardness uses diamond cone with angle. In all the above cases, hardness number is related to the ratio of the applied load to the surface area of the indentation formed. The testing procedure involves forcing the indentor on to the surface at a particular road. On removal, the size of 9

11 indentation is measured Notch Toughness There is always a possibility of microscopic cracks in a material or the material may develop such cracks as a result of several cycles of loading. Such cracks may grow rapidly without detection and lead to sudden collapse of the structure. To ensure that this does not happen, materials in which the cracks grow slowly are preferred. Such steels are known as notch-tough steels and the amount of energy they absorb is measured by impacting a notched specimen with a heavy pendulum as in Izod or Charpy tests ROLLED STEEL SECTIONS 10

12 Figure 4 Standard Rolled Sections Hot Rolling is usually used to produce the standard section. In this process, the molten steel is poured in to continuous casting systems where it is passed through a series of rollers which squeeze it to the desired shape before if solidifies completely. It is subsequently cut in to desired standard lengths. Cross section and size of the members are governed by optimum use of material, functional requirement etc. Usually sections with larger modulus of section compared to cross sectional area are preferred. IS Handbook 1 published by BIS provides the dimensions, weights and other sectional properties of various standard sections. Some of the sections as detailed by Figure 2 of IS 800:2007 is reproduced here in Figure Conventions for member axes Figure 5 Axes of Members Unless otherwise specified, x-x axis is considered along the length of the member; y-y axis of the cross section is the axis perpendicular to the flanges in general and the axis perpendicular to the smaller leg in the case of angles; z-z axis of the cross section is the axis parallel to the flanges in general and the axis parallel to the smaller leg in the case of angles; u-u axis is the major axis of the section and v-v axis is the minor axis of the section. This is schematically represented in Figure 5. 11

13 2. GENERAL DESIGN REQUIREMENTS The general design requirements are outlined in Section 3 of IS 800: BASIS FOR DESIGN The bases of the design are given in Section 3.1 of IS 800:2007. It is as follows Design Objective The objective of design, as outlined in Cl of IS 800:2007, is the achievement of an acceptable probability that structures will perform satisfactorily for the intended purpose during the design life. With an appropriate degree of safety, they should sustain all the loads and deformations, during construction and use and have adequate resistance to certain expected accidental loads and fire. Structure should be stable and have alternate load paths to prevent disproportionate overall collapse under accidental loading Methods of Design Method of Design of steel structures is given in Cl of IS 800:2007. In the previous version of the code, the design of steel structures was essentially using Working Stress Method. But IS 800:2007 permits us to design the structure to satisfy the various Limit States. It also advocates the use of Working Stress Method only to the situations where Limit State cannot be conveniently employed. As per Cl of IS 800:2007, Structure and its elements shall normally, be designed by the limit state method. Account should be taken of accepted theories, experimental information and experience and the need to design for durability. This clause admits that calculations alone may not produce Safe, serviceable and durable structures. Suitable materials, quality control, adequate detailing and good supervision are equally important. As per Cl of IS 800:2007, where the limit states method cannot be conveniently adopted; the working stress design (Section 11 of IS 800:2007) may be used Design Process Clause of IS 800:2007 specifies structural design, including design for durability, construction and use should be considered as a whole. The realization of design objectives requires compliance with clearly defined standards for materials, fabrication, erection and in-service maintenance LOADS AND FORCES Clause 3.2 of IS 800:2007 specifies the various loads and forces that has to be considered while performing the design of steel structures. As per Cl of IS 800:2007, for the purpose of designing any element, member or a structure, the following loads (actions) and their effects shall be taken into account, where applicable, with partial safety factors and combinations (Cl of IS 800:2007). (a) Dead loads; (b) Imposed loads (live load, crane load, snow load, dust load, wave load, earth pressures, etc); (c) Wind loads; (d) Earthquake loads; (e) Erection loads; (f) Accidental loads such as those due to blast, impact of vehicles, etc; and (g) Secondary effects due to contraction or expansion resulting from temperature changes, differential settlements of the structure as a whole or of its components,eccentric 12

14 connections,rigidity of joints differing from design assumptions Dead loads (Cl of IS 800:2007) Dead loads should be assumed in design as specified in IS 875 (Part 1) Imposed Loads (Cl of IS 800:2007) IS 800:2007 specifies in Cl that imposed loads for different types of occupancy and function of structures shall be taken as recommended in IS 875 (Part 2). Imposed loads arising from equipment, such as cranes and machines should be assumed in design as per manufacturers/suppliers data (Cl of IS 800:2007). Snow load shall be taken as per IS 875 (Part 4) Wind loads (Cl of IS 800:2007) Wind loads on structures shall be taken as per the recommendations of IS 875 (Part 3) Earthquake loads (Cl of IS 800:2007) Earthquake loads shall be assumed as per the recommendations of IS 1893 (Part 1) Erection Loads (Cl. 3.3 of IS 800:2007) All loads required to be carried by the structure or any part of it due to storage or positioning of construction material and erection equipment, including all loads due to operation of such equipment shall be considered as erection loads. The structure as a whole and all parts of the structure in conjunction with the temporary bracings shall be capable of sustaining these loads during erection Temperature Effects (Cl. 3.4 of IS 800:2007) Expansion and contraction due to changes in temperature of the members and elements of a structure shall be considered and adequate provision made for such effect. The co-efficient of thermal expansion for steel is as given in Cl l of IS 800: Load Combinations Load combinations for design purposes shall be those that produce maximum forces and effects and consequently maximum stresses and deformations. The following combination of loads with appropriate partial safety factors as given in Table 4 of IS 800:2007 may be considered. The table is reproduced here as Table 2 for ready reference. a) Dead load + imposed load, b) Dead load + imposed load + wind or earthquake load, c) Dead load + wind or earthquake load, and d) Dead load+ erection load. The effect of wind load and earthquake loads shall not be considered to act simultaneously. The load combinations are outlined in detail in Cl. 3.5 of IS 800:2007. Table 2 Partial safety factors for loads for limit states 13

15 2.3. GEOMETRICAL PROPERTIES The geometrical properties, as detailed in Cl. 3.6 of IS 800:2007, of the gross and the effective cross-sections of a member or part thereof, shall be calculated on the following basis: a) the properties of the gross cross-section shall be calculated from the specified size of the member or part thereof or read from appropriate table b) The properties of the effective cross-section shall be calculated by deducting from the area of the gross cross-section, the following: The sectional area in excess of effective plate width, in case of slender sections. The sectional areas of all holes in the section except for parts in compression. In case of punched holes, hole size 2 mm in excess of the actual diameter may be deducted CLASSIFICATION OF CROSS-SECTIONS Plate elements of a cross-section may buckle locally due to compressive stresses. The local buckling can be avoided before the limit state is achieved by limiting the width to thickness ratio of each element of a cross-section subjected to compression due to axial force, moment or shear. When plastic analysis is used, the members shall be capable of forming plastic hinges with sufficient rotation capacity (ductility) without local buckling, to enable the redistribution of bending moment required before formation of the failure mechanism. When elastic analysis is used, the member shall be capable of developing the yield stress under compression without local buckling. On basis of the above, Cl. 3.7 of IS 800:200 categorizes the sections in to four classes as follows. When different elements of a cross-section fall under different classes, the section shall be classified as governed by the most critical element. The maximum value of limiting width to thickness ratios of elements for different classifications of sections are given in Table 2 of IS 800:2007 which is reproduced here as Table Class 1 (Plastic) Cross-sections which can develop plastic hinges and have the rotation capacity required for failure of the structure by formation of plastic mechanism fall under this category. The width to thickness ratio of plate elements shall be less than that specified under Class 1 (Plastic), in Table 2 of IS 800: Class 2 (Compact) Cross-sections which can develop plastic moment of resistance, but have inadequate plastic hinge rotation capacity for formation of plastic mechanism, due to local buckling come under this class. The width to thickness ratio of plate elements shall be less than that specified under Class 2 (Compact), but greater than that specified under Class 1 (Plastic), in Table 2 of IS 800: Class 3 (Semi-compact) Cross-sections in which the extreme fiber in compression can reach yield stress but cannot develop the plastic moment of resistance, due to local buckling. The width to thickness ratio of plate elements shall be less than that specified under Class 3 (Semi-compact), but greater than that specified under Class 2 (Compact), in Table 2 of IS 800:

16 Class 4 (Slender) Cross-sections in which the elements buckle locally even before reaching yield stress. The width to thickness ratio of plate elements shall be greater than that specified under Class 3 (Semi - compact), in Table 2 of IS 800:2007. In such cases, the effective sections for design shall be calculated either by following the provisions of IS 801 to account for the post-local-buckling strength or by deducting width of the compression plate element in excess of the semi-compact section limit. Table 3 Limiting Width to Thickness Ratio 2.5. TYPES OF ELEMENTS IS 800:2007 classifies elements in to three types, as per Cl , as follows Internal elements These are elements attached along both longitudinal edges to other elements or to longitudinal stiffeners connected at suitable intervals to transverse stiffeners, for example, web of I-section and flanges and web of box section. 15

17 Outside elements or outstands These are elements attached along only one of the longitudinal edges to an adjacent element, the other edge being free to displace out of plane, for example flange overhang of an I-section, stem of T- section and legs of an angle section Tapered elements These maybe treated as flat elements having average thickness as defined in SP 6 (Part 1) MAXIMUM EFFECTIVE SLENDERNESS RATIO The maximum effective slenderness ratio, as per Cl. 3.8 of IS 800:2007, KL/r values of a beam, strut or tension member shall not exceed those given in Table 3 of IS 800:2007. KL is the effective length of the member and r is appropriate radius of gyration based on the effective section as defined in Cl of IS 800:2007. This data is reproduced here in Table 4. Table 4 Maximum effective slenderness ratio Member A member carrying compressive loads resulting from dead loads and imposed loads A tension member in which a reversal of direct stress occurs due to loads other than wind or seismic forces A member subjected to compression forces resulting only from combination with wind/earthquake actions, provided the deformation of such member does not adversely affect tbe stress in any part of the structure Compression flange of a beam against lateral torsional buckling A member normally acting m a tie in a roof truss or a bracing system not considered effective when subject to possible reversal of stress into compression resulting from the action of wind or earthquake forces Members always under tension (other than pre-tensioned members) Maximum Effective Slenderness Ratio (KL/r)

18 3. LIMIT STATE DESIGN The current revision of the code of practice, IS 800:2000, recommends limit state method for design of structures using hot rolled sections. This method is outlined in section 5 of IS 800:2007. However, it retained working stress method of design which was the design method for decades. But the scope of the working stress method is limited to those situations where limit state method cannot be conveniently employed BASIS FOR DESIGN In the limit state design method, the structure shall be designed to withstand safely all loads likely to act on it throughout its life. It shall not suffer total collapse under accidental loads such as from explosions or impact or due to consequences of human error to an extent beyond the local damages. The objective of the design is to achieve a structure that will remain fit for use during its life with acceptable target reliability. In other words, the probability of a limit state being reached during its lifetime should be very low. The acceptable limit for the safety and serviceability requirements before failure occurs is called a limit state. In general, the structure shall be designed on the basis of the most critical limit state and shall be checked for other limit states. Steel structures are to be designed and constructed to satisfy the design requirements with regard to stability, strength, serviceability, brittle fracture, fatigue, fire, and durability such that they meet the following: a) Remain fit with adequate reliability and be able to sustain all actions (loads) and other influences experienced during construction and use; b) Have adequate durability under normal maintenance; c) Do not suffer overall damage or collapse disproportionately under accidental events like explosions, vehicle impact or due to consequences of human error to an extent beyond local damage. The potential for catastrophic damage shall be limited or avoided by appropriate choice of one or more of the following: Avoiding, eliminating or reducing exposure to hazards, which the structure is likely to sustain. Choosing structural forms, layouts and details and designing such that: i) the structure has low sensitivity to hazardous conditions; and ii) the structure survives with only local damage even after serious damage to any one individual element by the hazard. Choosing suitable material, design and detailing procedure, construction specifications, and control procedures for shop fabrication and field construction as relevant to the particular structure. The following conditions may be satisfied to avoid a disproportionate collapse: The building should be effectively tied together at each principal floor level and each column should be effectively held in position by means of continuous ties (beams) nearly orthogonal, except where the steel work supports only cladding weighing not more than 0.7 kn/m 2 along with imposed and wind loads. These ties must be steel members such as beams, which may be designed for other purposes, steel bar reinforcement anchoring the steel frame to concrete floor or steel mesh reinforcement in composite slab with steel profiled sheeting directly connected to beam with shear connectors. These steel ties and their end connections should be capable of resisting factored tensile force not less than the factored dead and imposed loads acting on the floor area tributary to the tie nor less than 75 kn. Such connection of ties to edge column should also be capable of resisting 1 percent of the maximum axial compression in the column at the level due to factored dead and imposed loads. All column splices should be capable of resisting a tensile force equal to the largest of a factored dead and live load 17

19 reaction from a single floor level located between that column splice and the next column splice below that splice. Lateral load system to resist notional horizontal loads prescribed in Cl of IS 800:2007 should be distributed throughout the building in nearly orthogonal directions so that no substantial portion is connected at only one point to such a system. Precast concrete or other heavy floor or roof units should be effectively anchored in the direction of their span either to each other over the support or directly to the support. Where the above conditions to tie the columns to the floor adequately are not satisfied each storey of the building should be checked to ensure that disproportionate collapse would not precipitate by the notional removal, one at a time, of each column. Where each floor is not laterally supported by more than one system, check should be made at each storey by removing one such lateral support system at a time to ensure that disproportionate collapse would not occur. The collapse is considered disproportionate, if more than 15 percent of the floor or roof area of 70 m 2 collapse at that level and at one adjoining level either above or below it, under a load equal to 1.05 or 0.9 times the dead load, 0.33 times temporary or full imposed load of permanent nature (as in storage buildings) and 0.33 times wind load acting together LIMIT STATE DESIGN PHILOSOPHY For achieving the design objectives, the design shall be based on characteristic values for material strengths and applied loads (actions), which take into account the probability of variations in the material strengths and in the loads to be supported. The characteristic values shall be based on statistical data, if available. Where such data is not available, these shall be based on experience. The design values are derived from the characteristic values through the use of partial safety factors, both for material strengths and for loads. In the absence of special considerations, these factors shall have the values given in this section according to the material, the type of load and the limit state being considered. The reliability of design is ensured by satisfying the requirement: Design action Design strength Limit states are the states beyond which the structure no longer satisfies the performance requirements specified. The limit states are classified as: a) Limit state of strength; and b) Limit state of serviceability The limit states of strength The limit states of strength, as detailed in Cl of IS 800:2007, are those associated with failures (or imminent failure), under the action of probable and most unfavourable combination of loads on the structure using the appropriate partial safety factors, which may endanger the safety of life and property. The limit state of strength includes: a) Loss of equilibrium of the structure as a whole or any of its parts or components. b) Loss of stability of the structure (including the effect of sway where appropriate and overturning) or any of its parts including supports and foundations. c) Failure by excessive deformation, rupture of the structure or any of its parts or components, d) Fracture due to fatigue, e) Brittle fracture The limit state of serviceability The limit state of serviceability, as detailed in Cl of IS 800:2007 include: a) Deformation and deflections, which may adversely affect the appearance or effective use of the structure or may cause improper functioning of equipment or services or may cause damages to finishes and non-structural members. b) Vibrations in the structure or any of its components causing discomfort to people, damages to the structure, its contents or which may limit its functional 18

20 effectiveness. Special consideration shall be given to systems susceptible to vibration, such as large open floor areas free of partitions to ensure that such vibrations are acceptable for the intended use and occupancy (see Annex C of IS 800:2007). c) Repairable damage or crack due to fatigue. d) Corrosion, durability and e) Fire Actions The actions (loads), as detailed in Cl. 5.3 of IS 800:2007, to be considered in design include direct actions (loads) experienced by the structure due to self weight, external actions etc., and imposed deformations such as that due to temperature and settlements Classification of Actions Actions are classified by Cl of IS 800:2007, by their variation with time as given below: Permanent actions (Q p ): Actions due to self weight of structural and non-structural components, fittings, ancillaries, and fixed equipment, etc. Variable actions (Q v ): Actions due to construction and service stage loads such as imposed (live) loads (crane loads, snow loads, etc.), wind loads, and earthquake loads, etc. Accidental actions (Q a ): Actions expected due to explosions, and impact of vehicles, etc Characteristic Actions (Loads) The Characteristic Actions, Q C, as defined by the code in Cl.5.3.2, are the values of the different actions that are not expected to be exceeded with more than 5 percent probability, during the life of the structure and they are taken as: a) the self-weight, in most cases calculated on the basis of nominal dimensions and unit weights [see IS 875 (Part 1)], b) the variable loads, values of which are specified in relevant standard [see IS 875 (all Parts) and IS 1893 (Part l)], c) the upper limit with a specified probability (usually 5 percent) not exceeding during some reference period (design life) and d) specified by client, or by designer in consultation with client, provided they satisfy the minimum provisions of the relevant loading standard Design Actions The Design Actions, Q d, is expressed as γ fk Q ck, where γ fk = partial safety factor for different loads k, given in Table 4 of IS 800:2007 to account for: a) Possibility of unfavourable deviation of the load from the characteristic value, b) Possibility of inaccurate assessment of the load, c) Uncertainty in the assessment of effects of the load, and d) Uncertainty in the assessment of the limit states being considered. This is detailed in Cl of IS 800: Strength The ultimate strength calculation as detailed in Cl. 5.4 of IS 800: 2000 require consideration of the following: a) Loss of equilibrium of the structure or any part of it, considered as a rigid body; and b) Failure by excessive deformation, rupture or loss of stability of the structure or any part of it including support and foundation. 19

21 Design Strength The Design Strength given in of IS 800:2007, S d, is obtained from ultimate strength, S u and partial safety factors for materials, γ m given in Table 5 of IS 800:2007 by the relation S d S u /γ m, where partial safety factor for materials, γ m account for: a) Possibility of unfavourable deviation of material strength from the characteristic value, b) Possibility of unfavourable variation of member sizes, c) Possibility of unfavourable reduction in member strength due to fabrication and tolerances, and d) Uncertainty in the calculation Factors Governing the Ultimate Strength The following factors are considered by IS 800:2007 as those governing the ultimate strength Stability Stability shall be ensured for the structure as a whole and for each of its elements. This should include overall frame stability against overturning and sway, as given in Clause and of IS 800: Stability against overturning The structure as a whole or any part of it shall be designed to prevent instability due to overturning, uplift or sliding under factored load as given below: a) The Actions shall be divided into components aiding instability and components resisting instability. b) The permanent and variable actions and their effects causing instability shall be combined using appropriate load factors as per the Limit State requirements, to obtain maximum destabilizing effect Sway stability The whole structure, including portions between expansion joints, shall be adequately stiff against sway. To ensure this, in addition to designing for applied horizontal loads, a separate check should be carried out for notional horizontal loads such as given in Cl of IS 800:2007 to evaluate the sway under gravity loads Fatigue Generally fatigue need not be considered unless a structure or element is subjected to numerous significant fluctuations of stress. Stress changes due to fluctuations in wind loading normally need not be considered. Fatigue design shall be in accordance with Section 13 of IS 800:2007. When designing for fatigue, the partial safety factor for load, γ f, equal to unity shall be used for the load causing stress fluctuation and stress range Plastic Collapse Plastic analysis and design may be used, if the requirement specified under the plastic method of analysis (Cl. 4.5 of IS 800:2007) are satisfied Limit State of Serviceability Serviceability limit state is related to the criteria governing normal use. Serviceability limit state is limit state beyond which the service criteria specified below, are no longer met: a) Deflection limit, b) Vibration limit, c) Durability consideration, and d) Fire resistance. 20

22 Deflection The deflection under serviceability loads of a building or a building component should not impair the strength of the structure or components or cause damage to finishings. Deflections are to be checked for the most adverse but realistic combination of service loads and their arrangement, by elastic analysis, using a load factor of 1.0. Table 6 of IS 800:2007 gives recommended limits of deflections for certain structural members and systems. Circumstances may arise where greater or lesser values would be more appropriate depending upon the nature of material in element to be supported (vulnerable to cracking or not) and intended use of the structure, as required by client Vibration Suitable provisions in the design shall be made for the dynamic effects of live loads, impact loads and vibration due to machinery operating loads. In severe cases, possibility of resonance, fatigue or unacceptable vibrations shall be investigated. Unusually flexible structures (generally the height to effective width of lateral load resistance system exceeding 5:1) shall be investigated for lateral vibration under dynamic wind loads. Structures subjected to large number of cycles of loading shall be designed against fatigue failure, as specified in Section 13 of the code. Annex C of the code can be used for accommodating the floor vibration Durability Factors that affect the durability of the buildings, under conditions relevant to their intended life like a) Environment, b) Degree of exposure, c) Shape of the member and the structural detail, d) Protective measure, and e) Ease of maintenance. The durability of steel structures shall be ensured by recommendations in Section 15 of the code Fire Resistance Fire resistance of a steel member is a function of its mass, its geometry, actions to which it is subjected, its structural support condition, fire protection measures adopted and the fire to which it is exposed. Design provision is to resist fire are discussed in Section 16 of the code. 21

23 4. DESIGN OF CONNECTIONS Section 10 of IS 800:2007 deals with the design and detailing requirements for joints between members. The connections in a structure shall be designed so as to be consistent with the assumptions made in the analysis of the structure and comply with the requirements specified in section 10 of the code. Connections shall be capable of transmitting the calculated design actions. In most structures connections are the weakest link. This leads often to failure in spite of the strong members used. This draws our attention to the design of connections with utmost care. The behaviour of connections is quite complex due to geometric imperfections and complexities, lack of fit, residual stresses etc; making it complex to analyse. This can be simplified by a number of assumptions and approximations based on past experience, experimental results and ductility of steel. It is the ductility of steel assists the distribution of forces generated within a joint. This is outlined in Cl of IS 800:2007. The ultimate aim of connection design is to have a simple, compatible, feasible, easy to fabricate, safe and economical joint TYPES OF CONNECTIONS. Connection elements consist of components such as cleats, gusset plates, brackets, connecting plates and connectors such as rivets, bolts, pins, and welds. Connections are classified based on the connecting element and the fixity of the joint Classification based on the connector Connections are classified based on the connecting element in to (a) Riveted, (b) Bolted, (c) Pinned and (d) Welded connection. Of these riveted, bolted and pinned connections behave in a similar manner Classification based on the fixity of the joint Based on the fixity of the joint, connections are classified in to (a) Rigid joint, (b) Semi rigid joint and (c) Flexible joints SELECTIONS OF TYPE OF CONNECTION Riveted connections were once very popular and are still used in some cases but will gradually be replaced by bolted connections. This is due to the low strength of rivets, higher installation costs and the inherent inefficiency of the connection. Welded connections have the advantage that no holes need to be drilled in the member and consequently have higher efficiencies. However, welding in the field may be difficult, costly, and time consuming. Welded connections are also susceptible to failure by cracking under repeated cyclic loads due to fatigue which may be due to working loads such as trains passing over a bridge (high -cycle fatigue) or earthquakes (low -cycle fatigue). A special type of bolted connection using High Strength Friction Grip (HSFG) bolts has been found to perform better under such conditions than the conventional black bolts used to resist predominantly static loading. Bolted connections are also easy to inspect and replace. The choice of using a particular type of connection is entirely that of the designer and he should take his decision based on a good understanding of the connection behaviour, economy and speed of construction. Ease of fabrication and erection 22

24 should be considered in the design of connections. Attention should be paid to clearances necessary for field erection, tolerances, tightening of fasteners, welding procedures, subsequent inspection, surface treatment and maintenance. 5. BOLTED CONNECTIONS Bolt is a metal pin with a head at one end and a shank threaded at other end to receive a nut, as shown in Figure 6. Steel washers are usually provided under the bolt head and nuts to prevent the treaded portion of the bolt from bearing on the connecting pieces and to distribute the clamping pressure on the bolted member. Figure 6 A Bolt A bolt connection can be used for end connections in tension and compression members. They can also hold down column bases in position and as separator for purlins and beams in foundations. Bolts are having the following advantages over rivets and pins: (a) the erection of th e structures can be speeded up. (b) Less skilled labour can be employed. (c) Overall cost of bolted connection is lesser than the other alternatives. However the following shortcomings are also associated with the bolted connections: (a) Cost of material is high, about double than that of rivets. (b) The tensile strength of bolt is reduced due to the reduced area at the root of the thread and stress concentration. (c) Normally strength reduction will be there for loose fit bolts. (d) Bolts may get loose when subjected to vibrations CLASSIFICATION OF BOLTS Bolts used in steel structures are of three types: 1) Black Bolts 2) Turned and Fitted Bolts and 3) High Strength Friction Grip (HSFG) Bolts. The International Standards Organisation designation for bolts, also followed in India, is given by Grade x.y. In this nomenclature, x indicates one-tenth of the minimum ultimate tensile strength of the bolt in kgf/mm 2 and the second number, y, indicates one-tenth of the ratio of the yield stress to ultimate stress, expressed as a percentage. Thus, for example, grade 4.6 bolt will have a minimum ultimate strength 40 kgf/mm 2 (392 MPa) and minimum yield strength of 0.6 times 40, which is 24 kgf/mm 2 (235 MPa) Black bolts Black bolts are unfinished and are made of mild steel and are usually of Grade 4.6. Black bolts have 23

25 adequate strength and ductility when used properly; but while tightening the nut snug tight ( Snug tight is defined as the tightness that exists when all plies in a joint are in firm contact) will twist off easily if tightened too much Turned and fitted bolts Turned and fitted bolts have uniform shanks and are inserted in close tolerance drilled holes and made snug tight by box spanners. The diameter of the hole is about 1.5 to 2.0 mm larger than the bolt diameter for ease in fitting. High strength black bolts (grade 8.8) may also be used in connections in which the bolts are tightened snug fit. In these bearing type of connections, the plates are in firm contact but may slip under loading until the hole surface bears against the bolt.the load transmitted from plate to bolt is therefore by bearing and the bolt is in shear. Under dynamic loads, the nuts are liable to become loose and so these bolts are not allowed for use under such loading. In situations where small slips can cause significant effects as in beam splices, black bolts are not preferred. However, due to the lower cost of the bolt and its installation, black bolts are quite popular in simple structures subjected to static loading. Turned and fitted bolts are available from grade 4.6 to grade 8.8. For the higher grades there is no definite yield point and so 0.2% proof stress is used. Figure 7 Tightening of HSFG bolts High Strength Friction Grip bolts (HSFG) High Strength Friction Grip bolts (HSFG) provide extremely efficient connections and perform well under fluctuating/fatigue load conditions. These bolts should be tightened to their proof loads and require hardened washers to distribute the load under the bolt heads. The washers are usually tapered when used on rolled steel sections. The tension in the bolt ensures that no slip takes place under working conditions and so the load transmission from plate to the bolt is through friction and not by bearing. However, under ultimate load, the friction may be overcome leading to a slip and so bearing will govern the design. HSFG bolts are made from quenched and tempered alloy steels with grades 24

26 from 8.8 to The most common are the so-called, general grade of 8.8 and have medium carbon content, which makes them less ductile. The 10.9 grade have a much higher tensile strength, but lower ductility and the margin between the 0.2% yield strength and the ultimate strength is also lower. The tightening of HSFG bolts can be done by either of the following methods (IS 4000): Turn-of-nut tightening method: In this method the bolts are first made snug tight and then turned by specific amounts (usually either half or three-fourth turns) to induce tension equal to the proof load (Figure 7(a)). Calibrated wrench tightening method: In this method the bolts are tightened by a wrench (Figure 7(b)) calibrated to produce the required tension. Alternate design bolt installation: In this method special bolts are used which indicate the bolt tension. Presently such bolts are not available in India. Direct tension indicator method: In this method special washers with protrusions are used (Figure 7(c)). As the bolt is tightened, these protrusions are compressed and the gap produced by them gets reduced in proportion to the load. This gap is measured by means of a feeler gauge, consisting of small bits of steel plates of varying thickness, which can be inserted into the gap. Since HSFG bolts under working loads, do not rely on resistance from bearing, holes larger than usual can be provided to ease erection and take care of lack-of-fit. Typical hole types that can be used are standard, extra large and short or long slotted. These are shown in Figure 8. However the type of hole will govern the strength of the connection. Holes must also satisfy pitch and edge/end distance criteria (Cl.10.2 of IS 800:2007). A minimum pitch is usually specified for accommodating the spanner and to limit adverse interaction between the bearing stresses on neighbouring bolts. A maximum pitch criterion takes care of buckling of the plies under compressive loads Figure 8 Hole types for HSFG bolts 5.2. CLASSIFICATIONS OF BOLT CONNECTIONS Bolt connections are generally classified in the following ways Based on the resultant force transferred. Bolt connections can be classified in to the following heads based on how the resultant force transferred at the joint. (a) Concentric connection - if the force transferred passes through the CG of the connection. Eg. Axially loaded compression and tension members. (b) Eccentric connection - if 25

27 the load is not passing through the CG of the connection. Eg. Bracket connection and seat connection. (c) Moment resisting connection - when the joints are subjected to moments. Eg. Beam to column connection in framed construction. Ideal concentric connections should have only one bolt passing through all the members meeting at a joint as shown in Figure 9(a). However, in practice, this is not usually possible and so it is only ensured that the centroidal axes of the members meet at one point as shown in Figure 9(b). The Moment connections are more complex to analyse compared to the above two types and are shown in Figure 10(a) and Figure 10(b). The connection in Figure 10(a) is also known as bracket connection and the resistance is only through shear in the bolts. The connection shown in Figure 10(b) is often found in moment resisting frames where the beam moment is transferred to the column. The connection is also used at the base of the column where a base plate is connected to the foundation by to means o f anchor bol ts. In this co nnection, th e bolts are subjected tensi a combinati on of shear and axial Figure 9 Concentric C onnection B ased on the type of forc e Figure 1 0 Moment Co nnection Bolt connections can be classified in to the following based on the type of force transferred: (a) Shear connection - when the load transfer is through shear. Eg. Lap joint and tension joint; (b) Tension joints - when load is transferred by tension in the bolts. Eg. Hanger connection; (c) Combined shears and tension connections - when load is transferred through the combinations of 26

28 shear and tension. Eg. Inclined members connected to columns or beams. Typical shear connections occur as a lap or a butt joint used in the tension members as shown in Figure 11. While the lap joint has a tendency to bend so that the forces tend to become collinear, the butt joint requires cover plates. Since the load acts in the plane of the plates, the load transmission at the joint will ultimately be through shearing forces in the bolts. In the case of lap joint or a single cover plate butt joint, there is only one shearing plane, and so the bolts are said to be in single shear. In the case of double cover butt joint, there are two shearing planes and so the bolts will be in double shear. It should be noted that the single cover type butt joint is nothing but lap joints in series and also bends so that the centre of the cover plate becomes collinear with the forces. In the of single cover plate (lap) joint, the thickness of the cover plate is chosen to be equal to or greater than the connected plates. While in double cover plate (butt) joint, the combined thickness of the cover plates should be equal to or greater than the connected plates. A hanger connection is shown in Figure 12(a). In this connection, load transmission is by pure tension in the bolts. In the connection shown in Figure 12(b), the bolts are subjected to both tension and shear. Figure 12 Tension connection On the basisof force transfer mechanism Bolt connections are classified into the following based on the way in which load is transferred from one member to another connected in the joint. (a) Bearing type - bolts bears against the holes to transfer the load from one member to another. Eg. Slip type connection. (b) Friction type - when the force is transferred by friction between the plates due to tensioning of bolts. Eg. Slip-critical connects FAILURE OF BOLTED CONNECTIONS Failure of bolted connection can be classified broadly in to two: (1) failure of the bolt and (2) failure o f connecting parts. Bolte d joints may fail in any of the following six ways Shear failur e of bolts. Bearing fail ure of bolts. Bearing fail ure of plates Tension fail ure of bolts. Tension or t earing failur e of plates. Block shear failure. 27

29 5.4. SP ECIFICAT ION OF BO LTED JOI NTS D iameter of t he bolts In general, a connection with few larger diameter bolts are economical than a connection with smaller diameter bolts. This is basically because as the number of bolts increases, the work associated with drilling of holes and installations of bolts will also increases. Larger diameter bolts are particularly advantages in the case of connections where bolt shear governs the design because the shear strength of bolts varies as the square of bolt diameter. 28

30 Pitch Spacing of bolt holes in ajoint is defined by three parameters namely; pitch, edge distance an end distance. Pitch is the distance between the centers of two consecutive bolts measured along a row of bolts. When the bolts are placed staggered, then the pitch is known as staggered pitch Minimum pitch This is to prevent the bearing failure of the plate between the two bolts, to permit the efficiency in installation of bolts by providing sufficient space for tightening of bolts, to prevent overlapping of washers and to provide adequate resistance to tear out of bolts. Minimum Spacing is specified by IS 800:2007 in cl The distance between centre of fasteners shall not be less than 2.5 times the nominal diameter of the fastener Maximum Spacing bolts This is to ensure a compact joint reducing the length of connection and to ensure uniform stress in Cl gives the maximum distance between the centres of any two adjacent fasteners which shall not exceed 32t or 300 mm, whichever is less, where t is the thickness of thinner connected plate. Cl gives the distance between the centres of two adjacent fasteners (pitch) in a line lying in the direction of stress, which shall not exceed 16t or 200 mm, whichever is less, in tension members and 12t or 200 mm, whichever is less, in compression members; where t is the thickness of the thinner plate. In the case of compression members wherein forces are transferred through butting faces, this distance shall not exceed 4.5 times the diameter of the fasteners for a distance equal to 1.5 times the width of the member from the butting faces. Cl specifies the distance between the centres of any two consecutive fasteners in a line adjacent and parallel to an edge of an outside plate shall not exceed 100 mm plus 4t or 200 mm, whichever is less, in compression and tension members; where t is the thickness of the thinner outside plate. Cl deals with the staggered fasteners. When fasteners are staggered at equal intervals and the gauge does not exceed 75 mm, the spacing specified in and between centres of fasteners may be increased by 50 percent, subject to the maximum spacing specified in Edge and End Distances Cl specifies the way to compute the edge distances in various cases. The edge distance is the distance at right angles to the direction of stress from the centre of a hole to the adjacent edge. The end distance is the distance in the direction of stress from the centre of a hole to the end of the element. In slotted holes, the edge and end distances should be measured from the edge or end of the material to the centre of its end radius or the centre line of the slot, whichever is smaller. In oversize holes, the edge and end distances should be taken as the distance from the relevant edge/end plus half the diameter of the standard clearance hole corresponding to the fastener, less the nominal diameter of the oversize hole. Cl gives the minimum edge distance. The minimum edge and end distances from the centre of any hole to the nearest edge of a plate shall not be less than 1.7 times the hole diameter in 29

31 case of sheared or hand-flame cut edges; and 1.5 times the hole diameter in case of rolled, machineflame cut, sawn and planed edges. Cl specifies the permissible maximum edge distance. The maximum edge distance to the nearest line of fasteners from an edge of any un-stiffened part should not exceed 12tε, where ε = (250/f y ) and t is the thickness of the thinner outer plate. This would not apply to fasteners interconnecting the components of back to back tension members. Where the members are exposed to corrosive influences, the maximum edge distance shall not exceed 40 mm plus 4t, where t is the thickness of thinner connected plate Tacking Fasteners In case of members covered under , when the maximum distance between centres of two adjacent fasteners as specified in is exceeded, tacking fasteners not subjected to calculated stress shall be used. Tacking fasteners shall have spacing in a line not exceeding 32 times the thickness of the thinner outside plate or 300 mm, whichever is less. Where the plates are exposed to the weather, the spacing in line shall not exceed 16 times the thickness of the thinner outside plate or 200 mm, whichever is less. In both cases, the distance between the lines of fasteners shall not be greater than the respective pitches. All the requirements specified in shall generally apply to compression members, subject to the stipulations in Section 7 affecting the design and construction of compression members. In tension members (see Section 6) composed of two flats, angles, channels or tees in contact back to back or separated back to back by a distance not exceeding the aggregate thickness of the connected parts, tacking fasteners with solid distance pieces shall be provided at a spacing in line not exceeding 1000 mm. For compression members covered in Section 7, tacking fasteners in a line shall be spaced at a distance not exceeding 600 mm. These specifications are outlined in Cl of IS 800: Combination of fasteners When different fasteners are used to carry shear loads or when welding and other types of fasteners are combined together, then one form of the fasteners should be designed to take up the total load. Nevertheless, if we use HSFG bolts along with welds and the bolts are tightened after welding is completed, then such bolts can be used to share the load with the welds SHEAR CONNECTIONS WITH BEARING TYPE BOLTS In this section the force transfer mechanisms of bearing and friction type of bolted connections are described Force transfer of bearing type bolts Figure 13 shows the free body diagram of the shear force transfer in bearing type of bolted connection. It is seen that tension in one plate is equilibrated by the bearing stress between the bolt and the hole in the plate. Since there is a clearance between the bolt and the hole in which it is fitted, the bearing stress is mobilised only after the plates slip relative to one another and start bearing on the bolt.the section x-x in the bolt is critical section for shear. Since it is a lap joint there is only one critical section in shear (single shear) in the bolt.in the case of butt splices there would be two critical sections in the bolt in shear (double shear), corresponding to the two cover plates. 30

32 Figure 13 Bearing connection Design shear strength of bearing type bolts The failure of connections with bearing bolts in shear involves either bolt failure or the failure of the connected plates. In this section, the failure modes are described along with the codal provisions for design and detailing shear connections. In connections made with bearing type of bolts, the behaviour is linear until i) yielding takes place at the net section of the plate under combined tension and flexure or ii) shearing takes place at the bolt shear plane or iii) failure of bolt takes place in bearing, iv) failure of plate takes place in bearing and v) block shear failure occurs. Of these, i) and v) will be discussed in the chapter on tension members. The remaining three are described below Shearing of bolts The shearing of bolts can take place in the threaded portion of the bolt and so the area at the root of the threads, also called the tensile stress area A t, is taken as the shear area A s. Since threads can occur in the shear plane, the area A e for resisting shear should normally be taken as the net tensile stress area, A n, of the bolts. The shear area is specified in the code and is usually about 0.8 times the shank area. However, if it is ensured that the threads will not lie in the shear plane then the full area can be taken as the shear area. A bolt subjected to a factored shear force (V sb ) shall satisfy as per cl of IS 800:2007, where of the code. Here V nsb = nominal shear capacity of a bolt, calculated by in which f u = ultimate tensile strength of a bolt; n n = number of shear planes with threads intercepting the shear plane; n, = number of shear planes without threads intercepting the shear plane; A sb = nominal plain shank area of the bolt; and A nb = net shear area of the bolt at threads, may be taken as the area 31

33 corresponding to root diameter at the thread as given in Table 5 and γ mb = For bolts in single shear, either n n or n s is one and the other is zero. For bolts in double shear the sum of n n and n s is two Bearing failure Table 5 Tensile area of ordinary bolts (Grade 4.6) Bolt size, d (mm) Tensile stress area (mm 2 ) If the connected plates are made of high strength steel then failure of bolt can take place by bearing of the plates on the bolts. If the plate material is weaker than the bolt material, then failure will occur by bearing of the bolt on the plate and the hole will elongate. The beating area is given by the nominal diameter of the bolt times the combined thickness of the plates bearing in any direction. A bolt bearing on any plate subjected to a factored shear force (V sb ) shall satisfy as per cl of IS 800:2007, where as given by cl of the code where, γ mb = 1.25 and V npb = bearing strength of a bolt, calculated as V npb = 2.5k b dtf u where f u = smaller of the ultimate tensile stress of the bolt and the ultimate tensile stress of the plate, d = nominal diameter of the bolt, t = summation of the thicknesses of the connected plates experiencing bearing stress in the same direction and k b is smaller of e/3d 0, p/3d , f ub /f u, 1.0 where e, p = end and pitch distances of the fastener along bearing direction; d 0 = diameter of the hole; f ub, f u = Ultimate tensile stress of the bolt and the ultimate tensile stress of the plate, respectively. The underlying assumption behind the design of bolted connections, namely that all bolts carry equal load is not true in some cases. In long joints, the bolts farther away from the centre of the joint will carry more load than the bolts located close to the centre. Therefore, for joints having more than two bolts on either side of the building connection with the distance between the first and the last bolt exceeding 15d in the direction of load, the nominal shear capacity Vns, shall be reduced by the factor, βlj, given by (Cl ) β lj = l j / (200 d) but 0.75 < β lj < 1.0 where, d= nominal diameter of the bolt Similarly, if the grip length exceeds five times the nominal diameter, the strength is reduced as specified in IS 800. In multi-bolt connections, due to hole mismatch, all the bolts may not carry the same load. However, under ultimate load, due to high bearing ductility of the plates considerable redistribution of the load is possible and so the assumption that all bolts carry equal load may be considered valid SHEAR CONNECTIONS WITH HSFG BOLTS Force transfer of HSFG bolts The free body diagram of an HSFG connection is shown in Figure 14. It can be seen that the pretension in the bolt causes clamping forces between the plates even before the external load is applied. When the external load is applied, the tendency of two plates to slip against one another is resisted by the friction between the plates. The frictional resistance is equal to the coefficient of friction multiplied by the normal clamping force between the plates. Until the externally applied force exceeds this frictional resistance the relative slip between the plates is prevented. The HSFG connections are designed such that under service load the force does not exceed the frictional resistance so that the relative slip is avoided during service. When the external force exceeds the frictional resistance the plates slip until the bolts come into contact with the plate and start bearing 32

34 against the hole. Beyond this point the external force is resisted by the combined action of the frictional resistance and the bearing resistance Design shear strength of HSFG bolts HSFG bolts will come into bearing only after slip takes place. Therefore if slip is critical (i.e. if slip cannot be allowed) then one has to calculate the slip resistance, which will govern the design. However, if slip is not critical, and limit state method is used then bearing failure can occur at the Limit State of collapse and needs to be checked. Even in the Limit State method, since HSFG bolts are designed to withstand working loads without slipping, the slip resistance needs to be checked anyway as a Serviceability Limit State Slip Resistance Design for friction type bolting in which slip is required to be limited, a bolt subjected only to a factored design shear force, V sf, in the interface of connections shall satisfy the following (Cl ): Vsf Vdsf where Vdsf = Vnsf / γmf in which γmf = 1.10 if slip resistance is designed at service load and 1.25 if slip resistance is designed at ultimate load. V nsf = nominal shear capacity of a bolt as governed by slip for friction type connection, calculated as follows: V nsf = μ f n e K h F o. where, μ f = coefficient of friction (slip factor) as specified in Table 20 of the code (μ f < 0.55), n e =number of effective interfaces offering frictional resistance to slip, K h = 1.0 for fasteners in clearance holes = 0.85 for fasteners in oversized and short slotted holes, and for fasteners in long slotted holes loaded perpendicular to the slot and 0.7 for fasteners in long slotted holes loaded parallel to the slot, F o = minimum bolt tension (proof load) at installation and may be taken as 0.8 A sb f o where A sb = shank area of the bolt in tension and f o = proof stress (= 0.70 f ub ). Vns may be evaluated at a service load or ultimate load using appropriate partial safety factors, depending upon whether slip resistance is required at service load or ultimate load Bearing strength The design for friction type bolting, in which bearing stress in the ultimate limit state is required to be limited, (V ub = factored load bearing force) shall satisfy V bf < V nbf / γ mf (Cl of the code), where γ mf = 1.25, V nbf = bearing capacity of a bolt, for friction type connection, given by V nbf = 2.2dtf up 3dtf yp where f up = ultimate tensile stress of the plate, f yp = tensile yield stress of the plate, d = nominal diameter of the bolt t = summation of thicknesses of all the connected plates experiencing bearing stress in the same direction. The block shear resistance of the edge distance due to bearing force shall also be checked. 6. WELDED CONNECCTION 6.1. INTRODUCTION When two members are connected by means of welds, such a connection is known as welded connection. Welding offers an opportunity to the designer to achieve a more efficient use of the materials. Earlier designers considered welds as less fatigue resistant. It was believed that attaining good welds at site is impossible. Now a day, with the advances in the field of non destructive testing methods (NDT), testing and quality control of welds became easier. This gives the designers enough courage to explore the possibilities and capabilities of welded connections. Speedy construction is facilitated by using welded connections. Weight of welded connections is relatively low and hence 33

35 cuts cost of construction. Since there is no reduction of holes the gross cross section is effective in carrying loads TYPES OF WELDED CONNECTIONS The basic types of welded joints can be classified depending on the types of welds, position of welds and type of joint Based on the type of weld Based on type of weld, welds can be classified in to fillet weld, groove weld (or butt weld), plug weld, slot weld, spot weld etc. Various types of welds are shown in Figure Groove welds (butt welds) Groove welds (butt welds) and fillet welds are provided when the members to be joined are lined up. Groove welds are costlier since it requires edge preparation. Groove welds can be employed safely in heavily stressed members. Square butt welds are provided up to a plate thickness of 8mm only. Various types of butt welds are shown in Figure Fillet welds Fillet welds are provided when two members to be jointed are in different planes. Since this situation occurs more frequently, fillet welds are more common than butt welds. Fillet welds are easier to make as it requires less surface preparation. Nevertheless, they are not as strong as the groove welds and cause concentration of stress. Fillet welds are preferred in lightly stressed members where stiffness rather than strength governs the design. The various types of fillet welds are shown in Figure Slot and plug welds Slot and plug welds are used to supplement fillet welds where the required length of fillet weld cannot be achieved Based on the position of weld Based on the position of weld, welds can be classified in to flat weld, horizontal weld, vertical weld, overhead well etc Based on the type of joints 34

36 Based on the type of joints, welds can be classified in to butt welded joints, lap welded joints, tee welded joints and corner welded joints. Figure 15 Type of joints Figure 16 Types of Groove Welds Figure 17 Types of Fillet Welds 6.3. ADVANTAGES AND DISADVANTAGES OF WELDED JOINTS The following are the advantages of welded joints. Due to the absence of gusset plates and other connecters, the welds are usually lighter. Welding process is quicker as it requires no drilling of holes. Welding is more adaptable than other types of connections and can even be used in circular pipes. 100% efficiency can be achieved in welding where as the connection such as bolts can have a maximum efficiency of 70-80%. Noise produced during the welding process is relatively less. 35

37 Welds usually have good aesthetic appearance. Welded joints are air tight and water tight and can be used for water tanks and gas tanks. Welded joints are rigid. Mismatch of holes will never happen in welded connection. Alternation of joints can easily be made in the case of welded connecetions. However the welded connection is having the following disadvantages. Due to the uneven heating and cooling, members are likely to distort in the process of welding. Possibility of brittle fracture is more in the case of welded connections. Welded connections are more prone to failure due to fatigue stresses. The inspection of welded joints is difficult and expensive. It can only be done by employing NDT. Highly skilled persons are required for welding. Proper welding in field conditions is difficult. Welded joints are over rigid WELDING PROCESS Welding consists of joining two steel sections by means of metallurgical bond between them by the application of pressure and/or fusion. The most commonly used welding process is fusion process. The bond is produced, in fusion process, by melting the surfaces to be joined and then allowing them to solidify in to a single joint. The most commonly used welding process is the arc welding process (Figure 18). In this process intense heat required (around C) to melt the steel sections is produced by an electric arc. The tremendous heat at the tip of the electrode melts the base metal and the filler metal to form a pool of molten metal called crater which solidifies on cooling produce the joint required WELD DEFECTS Figure 18 Welding Process Defects in welding are inevitable in spite of using the good welding techniques, standard electrodes and preparation of joints. Some of the commonly observed welding defects (Figure 19) are detailed below Incomplete fusion This happens when the base metal fails to completely fuse along with the weld metal. This can 36

38 be caused by the rapid welding or by the presence of foreign material at the weld surface. See Figure 19(a) Incomplete penetration This type of failure occurs due to the failure of the weld metal to penetrate the complete depth of the joint. This is often observed in single V and bevel joints. This can also happen while using electrodes of larger size than is required. See Figure 19(b) Porosity Porosity occurs due to the voids or gas pockets entrapped in the welds while cooling. This results in stress concentration and reduced ductility of the joint. This is mainly due to careless use of backup plates, presence of moisture in the electrodes, presence of hydrogen in the electrodes and excessive current. See Figure 19(c) Slag inclusion Figure 19 Weld Defects Slag inclusions are metallic oxides and other solid compounds which are sometimes found as elongated or globular inclusions. The slag, being lighter than the molten material of weld, usually rise to the surface and can be removed after cooling of the weld. However if the weld is cooled rapidly possibilities are there to trap these in the weld. See Figure 19(d). 37

39 Undercutting Undercutting is the local decrease in the thickness of parent metal at the weld toe. An undercut results in reduced section and acts like a notch. This can happen due to excessive current and/or long arc INSPECTION OF WELDS As we have seen in section 6.5, defects in welds are inevitable. Nevertheless, the poor weld quality leads to collapse. Therefore, proper inspection and quality control of welded joints is essential. Some of the commonly employed methods are discussed here Magnetic particle method When iron fillings spread over the welded joint is subjected to electric current, the forms patterns which can be utilised for interpret and locating surface cracks Dye penetration method A dye is spread over the surface of weld in this method and then the surplus is removed. Then dye absorber is placed on the surface which oozes out the dye in the crack revealing the depth of surface cracks Ultrasonic method Defects like flaws, blow holes, slag inclusion and porosity of the welds can be evaluated by this method. When ultrasonic waves are sent through the weld, these defects interfere with the wave propagation of the waves affecting its travel time. The defects can be interpreted by observing the travel time of the waves Radiography In this method, X-rays and gamma rays are used to locate the defects. This is used in groove welds only ASSUMPTIONS IN THE ANALYSIS OF WELDED JOINTS The following assumptions are made in the analysis of welded joints. Welds connecting various parts are homogeneous, isotropic and elastic. The parts connected by welds are rigid and their deformations are therefore neglected. Only stresses due to external loads are to be considered. Effects of residual stresses, stress concentrations and shape of welds are neglected ANALYSIS AND DESIGN OF BUTT(GROOVE) WELDS Groove welds are usually provided when the member is subjected to tension or compression. Since there is no change in the section at the joint, this is the most suitable form of joint to transfer alternating stress. However when the welds are intended to take shear stress, careful consideration should also be made so that the shear stresses developed is taken care of. Figure 20 shows the typical cross section of a groove weld. Square groove welds are usually employed for sections of thickness up to 8mm. If sections with more than 8mm thickness, U, V, double U or double V butt welds are used. 38

40 Reinforcement in Groove Welds Figure 20 Groove Welds Extra weld material which is deposited to make the throat thickness at least 10% more than the welded material is known as reinforcement (see Figure 20). This will increase the efficiency of the joint. Reinforcement will increase the strength of grove welds under static loading. In the case of dynamic loading, reinforcement may result in stress concentrations. So the reinforcement is usually dressed flush in the case of members subjected to dynamic loading. However subsequent removal of reinforcement is not considered as reducing the strength of joint. The reinforcement is ignored in calculating the strength. In any case the reinforcement should not exceed 3mm Size of Groove Welds Size of welded joint is usually specified by throat dimension. This is also called effective throat thickness. Groove welds may be classified in to full penetration groove welds (Figure 21) or partial penetration groove welds (Figure 22). Complete penetration is difficult to achieve in the case of single U, V, J and bevel welds. However, this can be achieved by using backing strips as shown in Figure 21. Figure 21 Complete Penetration Groove Welds Figure 22 Partial Penetration Groove Welds As per Cl of IS , the effective throat thickness of a complete penetration butt weld shall be taken as the thickness of the thinner part joined, and that of an incomplete penetration butt weld shall be taken as the minimum thickness of the weld metal common to the parts joined, excluding reinforcements. However in the case where full penetration groove welds cannot be achieved, an effective throat thickness of 1/8 th of the thickness of thinner member is used. But for calculating the strength of the connection, a throat thickness of 5/6 th of the thinner member is usually assumed Effective area of Groove Welds Effective area of weld is obtained as the product of effective ܮ, length ௪ of weld and effective thickness (throat thickness), ݐ ௧ of weld. As per Cl of IS , the effective length of butt weld shall be taken as the length of the continuous full size butt weld, but not less than four times the 39

41 size of the weld Design strength of Groove welds Cl of IS deals with the strength of Butt welds. As detailed in this clause of the code, Butt welds shall be treated as parent metal with a thickness equal to the throat thickness, and the stresses shall not exceed those permitted in the parent metal. Hence the following equations may be used for the design of butt welds. The design strength of groove weld in tension and compression is given by where Tnu is the nominal strength of the weld given by and is partial safety factor of the material of the weld given by Table 5 of IS Fy is the yield stress of the material, Lw is the effective length of the weld and Le is the throat thickness. The design strength of groove weld in shear may be calculated by the expression where ௪ߛ is partial safety factor of the material of the weld given by Table 5 of IS and ௪ is the nominal strength of the weld given by ௪ ೠ ݐ where is the ଷ ௪ܮ ௧ ௨ ultimate stress of the material, thickness. is the throat ݐ ௪ܮ is the effective length of the weld and Butt welds subjected to combination of stresses Cl deals with the case where fillet welds are subjected to combined bearing, bending and shear. Where bearing stress, f br, is combined with bending (tens ile or compressive), f b and shear stresses, q under the most unfavourable conditions of loading in butt welds, the equivalent stress, f e, obtained from the formula. However the value of f e thus obtained shall not exceed the values allowed for the parent metal: 6.9. ANALYSIS AND DESIGN OF FILLET WELDS Fillet welds are provided for connecting two members which are overlapping each other. Shear stresses are usually the type of stress in the case of fillet welded connection. Direct stresses to which the connections are subjected to are usually of lesser importance. Concave fillet weld was favoured because it offers a smoother path for the flow of stress. But concave fillet weld up on cooling shrinks and cause tension to the surface which may cause cracks in the joint. On the other hand, shrinkage of weld will cause compression in the case of convex fillet weld. Concave fillet welds are more suitable under alternating stresses Size of Fillet weld Cl of IS specifies the size of normal fillets shall be taken as the minimum weld leg size. For deep penetration welds, where the depth of penetration beyond the root run is a minimum of 2.4 mm, the size of the fillet should be taken as the minimum leg size plus 2.4 mm. Figure 23 shows the leg length of fillet weld for various cases. 40

42 Figure 23 Leg Length of Fillet Weld Cl of IS restricts minimum size of fillet welds to be 3 mm. The minimum size of the first run or of a single run fillet weld shall be as given in Table 21 of IS , to avoid the risk of cracking in the absence of preheating. Table 21 if IS is reproduced for ready reference as Table 6. As per Cl of IS , where the size specified for a fillet weld is such that the parent metal will not project beyond the weld, no melting of the outer cover or covers shall be allowed to occur to such an extent as to reduce the throat thickness (see Fig. 18 of IS800:2007). The figure is reproduced here as Figure 25. Cl of IS specifies for end fillet weld, normal to the direction of force shall be of unequal size with a throat thickness not less than 0.5t, where t is the thickness of the part, as shown in Fig. 19 of IS The difference in thickness of the welds shall be negotiated at a uniform slope. Fig. 19 of IS is reproduced here as Figure 26. Table 6 Minimum size of first run or of a single run fillet weld Sl. No. Thickness of thicker part (mm) Minimum size (mm) Over Up to and including of 1st run, 10 for minimum weld size Cl of IS specifies the maximum size of fillet weld applied to the edge of a plate or section. Cl specifies where a fillet weld is applied to the square edge; the specified size of the weld should generally beat least 1.5 mm less than the edge thickness (see Fig. 17A of IS800:2007). This figure is reproduced here as Figure 24(a). Cl of IS gives the specification where the fillet weld is applied to the rounded toe of a rolled section; the specified size of the weld should generally not exceed 3/4 of the thickness of the section at the toe (see Fig. 17B of IS800:2007). This figure is reproduced here as Figure 24(b). Figure 24 Fillet Welds on square edge of plate or round toe of rolled section Figure 25 Full size Fillet Weld applied to the edge of a Plate or a Section 41

43 Effective throat thickness of fillet welds Cl of IS gives the specification for Effective Throat Thickness. Cl specifies the effective throat thickness of a fillet weld not to be less than 3 mm and shall generally not exceed 0.7t, or 1.0t under special circumstances, where t is the thickness of the thinner plate of elements being welded. Further, Cl of the code specifies the effective throat thickness. For the purpose of stress calculation in fillet welds joining faces inclined to each other, the effective throat thickness shall be taken as K times the fillet size, where K is a constant, depending upon the angle between fusion faces, as given in Table 22 of IS Table 22 of IS is reproduced here as Table 7 for ready reference. Table 7 Values of K for different angles Angle between fusion faces in degrees Constant, K Effective length of fillet welds Effective Length of Weld is considered in accordance with Cl of IS As per Cl , the effective length of fillet weld shall be taken as only that length which is of the specified size and required throat thickness. In practice the actual length of weld is made of the effective length shown in drawing plus two times the weld size, but not less than four times the size of the weld. So the effective length of the weld is considered as actual length minus twice the weld size. As per Cl , Fillet welds terminating at the ends or sides of parts should be returned continuously around the corners for a distance of not less than twice the size of the weld, unless it is impractical to do so. This is particularly important on the tension end of parts carrying bending loads Effective area of fillet welds The effective area of fillet welds is obtained as the product of effective throat thickness and effective length Design strength of fillet welds Cl of IS deals with the strength of fillet welds. As detailed in this clause of the code, fillet welds shall be designed based on the throat area (effective area). The code specifies the design stress in the weld where and is partial safety factor of the material of the weld given by Table 5 of IS and is the nominal stress of the material given by is the ultimate stress of the material. Hence the design capacity of fillet welds where weld is and ݐ ௧ is the throat thickness. effective length of the Long joints When the length of the welded joint, l j of a splice or end connection in a compression or tension element is greater than 150 t t the design capacity of weld, f wd shall be reduced by the factor ߚ 1 42

44 Fillet weld subjected to individual stresses Cl of IS800:2007 specifies the Stresses Due to Individual Forces. When subjected to either compressive or tensile or shear force alone, the stress in the weld is given by Fillet welds subjected to combination of stresses As per Cl , when subjected to a combination of normal and shear stress, the equivalent stress f e shall satisfy the condition FAILURE OF WELDS Failure of welds of various types may be classified based on the types of welds Butt weld If the butt welds are reinforced properly, it is unlikely for the failure to obtain in the weld. The fracture normally occurs at some distance from the connection. However if the weld is ground flush with the surface of the plate, the position of the fracture depends on the relative strength of plate and weld. If the tensile strength and yield point of the weld metal are higher than that of the elements, the failure takes place away from the weld. Failure in the weld junction is unusual. Welds stiffened with reinforcements will hinder the failure of the joint under bending. If there is a wide difference in the properties of the materials on joint and member, the failure may occur at the junction End fillet weld The plane of failure in the case of a normal convex weld is along the diagonal from the root of the weld. The position of the plane of failure depends on the relative magnitude of tensile and shear stresses. If the fillet weld is having unequal legs, the plane of failure will be nearer to the leg having smaller length. The failure of end fillet welds occurs abruptly with very small deformations Side fillet weld In a side convex weld subjected to shear stress along the weld, failure occurs down the throat of the weld. Failure is initiated at the toe of the weld and progress with rotation of the plane associated with considerable deformations. Failure of the plates before the final failure is also usual. 43

45 7. TENSION MEMBERS 7.1. GENERAL Structural members subjected to tensile forces are known as tension members. IS 800:2007 describes Tension members in Cl. 6.1 as linear members in which axial forces act to cause elongation (stretch). The connections are made in such a way that the eccentricity of loading and bending stresses are avoided. Even though bending stresses may develop due to the self weight of the member, these stresses are very small and often neglected. However if bending stress is developed due to the eccentricity of connections or due to the incapability of the connections to create the above considerations, the additional stresses need to be accounted for as per specifications TYPES OF TENSION MEMBERS Tension members can be classified into the following heads Wires, strands and cables A strand consists of individual wires wound helically around a central core. A wire rope consists of a number of strands wound helically around a core. Cables are group of individual strands wound helically around a core Bars and rods Bars and rods are straight member which have considerable cross section. These can be either circular square or rectangular in cross section. Unlike cables, wires and strands, they are used individually as structural members. They are often bolted to the other members by means of threaded ends Plates and flat bars. They are very commonly used. Plates are members where one dimension (thickness) is very small in comparison with the other dimensions. Flat bars are usually rectangular in cross section and the cross sectional dimensions are comparable where as the length is very large in comparison with the cross sectional dimension Structural sections Standard structural steel sections like angles are also used as tension members. These are available in standard dimensions and length Built up sections Built-up sections are also used very frequently in construction. These are formed by using a combination of more than one standard sections and/or plates FAILURE MODES FOR TENSION MEMBERS Tension members, as described in IS 800:2007, can sustain loads up to the ultimate load, at which stage they may fail by rupture at a critical section. However, if the gross area of the member 44

46 yields over a major portion of its length before the rupture load is reached, the member may become nonfunctional due to excessive elongation. Plates and other rolled sections in tension may also fail by block shear of end bolted regions also. The design objective is basically to check these three failure modes under prescribed loads or combination of loads DESIGN CONSIDERATION OF TENSION MEMBERS The factored design tension, T, in the members shall satisfy as detailed in Cl. 6.1 of IS 800:2007 where Td = design strength of the member. The design strength of a member under axial tension,td, is the lowest of the design strength due to yielding of gross section,rupture strength of critical section (Tdn ),and block shear strength (Tdp), given in clauses 6.2, 6.3 and 6.4 of IS 800:2007 respectively Design Strength due to Yielding of Gross Section The design strength of members under axial tension, as governed by yielding of gross section, as per IS 800:2007, is given by where is the yield stress of the material, is the gross area of cross-section, and is the partial safety factor for failure in tension by Ag yielding as given in Table 5 of IS 800:2007. This table is reproduced here as Table 8. Table 8 Partial Safety Factors for Materials Sl No Definition Partial safety factor 1 Resistance, governed by yielding, γ ୫ Resistance of member to buckling, γ ୫ Resistance, governed by ultimate stress, γ ୫ଵ Resistance of connection Shop Fabrications Field Fabrications 4(a) Bolts-Friction Type, γ ୫ (b) Bolts-Bearing Type, γ ୫ୠ (c) Rivets, γ ୫ (d) Welds, γ ୫୵ Design Strength due to Rupture Strength of Critical Section The rupture strength of the critical section is also a governing criterion for the design of tension members. Cl. 6.3 of IS 800:2007 deals with the rupture strength of critical section. The critical section has to be carefully evaluated as the section which is having the least net cross sectional area out of the various possible failure planes. The evaluation of the strength of critical sections depends on the type of cross section. The calculation will be based on Cl (Plates), Cl (Threaded rods), Cl (Angles) and Cl (Other sections) of IS 800:2007. Our discussion will be limited to that of plates and angles in this section Design Strength due to Rupture Strength of Critical Section for plates Cl of IS 800:2007 gives the design strength in tension of a plate,, as governed by rupture of net cross-sectional area, An, at the holes is where is the partial safety factor for failure at ultimate stress as given in Table 8 above or Table 5 of IS 800:2007, is the ultimate stress of the material, and ܣ is the net effective area of the member given by, where b and t are the width and thickness of the plate, 45 is the diameter of the

47 bolt hole (2 mm in addition to the diameter of the hole, in case the directly punched holes), g is the gauge length between the bolt holes, as shown in Fig. 5 of IS 800:2007. This figure is reproduced here as Figure 27. p is the staggered-pitch length between line of bolt holes, as shown in Fig. 5 of IS 800:2007, n is the number of bolt holes in the critical section and i is the subscript for summation of all the inclined legs Design Strength due to Rupture Strength of Critical Section for plates Cl of IS 800:2007 gives the rupture strength of angles connected through one leg. This strength will be affected by shear lag and is given by where This should be limited by a maximum value given by and by a minimum value of 0.7 where w is the outstand leg width, b s is the shear lag width, as shown in Fig. 6 of IS800:2007 (Reproduced here as Figure 28), Lc is the length of the end connection, that is the distance between the outermost bolts in the end joint measured along the load direction or length of the weld along the load direction, An is the net area of the total cross-section, Ago is the gross area of the outstanding leg, is the net area of the connected leg and t is the Anc thickness of the leg. In the case of design of tension members, the IS800:2007 permits to use a simpler expression for preliminary sizing. The approximate rupture strength of net section to be taken as where can be taken as 0.6 for one or two bolts, 0.7 for three bolts and 0.8 for four or more bolts along the length in the end connection or equivalent weld length Design Strength due to Rupture Strength of Critical Section for Other Section According to Cl of IS800:2007, the rupture strength,, of the double angles, channels, I- sections and other rolled steel sections, connected by one or more elements to an end gusset is also governed by shear lag effects. The design tensile strength of such sections as governed by tearing of net section may also be calculated using equation in 6.3.3, where is calculated based on the shear lag distance,, taken from the farthest edge of the outstanding leg to the nearest bolt/weld line in the connected leg of the cross-section., 46

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99 TWO MARKS - QUESTIONS & ANSWERS UNIT I - CONNECTIONS RIVETED, WELDED & BOLTED 1. Mention the advantages and disadvantages of steel structures? Advantages: Ability to resist high loads Due to its high density, steel is completely non-porous Durability Easy to disassembling or replacing some steel members of a structure Disadvantages: Corrosion At high temperature steel loses most of its strength, leading to deformation or failure 2. What is meant by Girder? Girder means a major beam frequently at wide spacing that supports small beams. 3. What is meant by joists? It is a closely spaced beam supporting the floors and roofs of buildings 4. What is meant by Purlins? It is a roof beam usually supported by trusses 5. What is meant by Rafters? It is a roof beam usually supported by purlins 6. What is meant by Lintel? It is a beam over window or door openings that support the wall above. 7. What is Girts? It is horizontal wall beams used to support wall covering on the side of an industrial building 8. What is meant by Spandrel beam? It is beam around the outside perimeter of a floor that support the exterior walls and the outside edge of the floor 9. Name the different types of connections? Riveted connections Welded connections Bolted connections

100 Pinned connections 10. Name the types of riveted connections? Lap Joint - single riveted and double riveted Butt joint single cover and double cover 11. What is meant by rivet value? The least of the strengths in shearing and bearing is the rivet value 12. What is meant by gauge distance? The perpendicular distance between two gauge lines, is called gauge distance 13. Name the different modes of failure of a riveted joint? Tearing failure of the plate Shear failure of the plate Shear failure of the rivet Bearing failure of the rivet Splitting failure of plate 14. As per the American practice where the neutral axis lie in the rivet group? It is assumed that the line of rotation lies at a distance of 1/7 th of the effective bracket depth from the bottom of the bracket 15. What are the factors that govern will govern the structural design? Foundation movements Elastic axial shortening Soil and fluid pressures Vibration Fatigue Impact (dynamic effects) Erection loads 16. What are the load combinations for the design purposes? Dead load + Imposed Load (Live load) Dead Load + Imposed Load + Wind Load or earthquake load Dead Load + Wind Load or Earthquake load 17. What are the steps involved in structural design? Forces or loads Structural arrangement and material selection

101 Analyzing internal stresses Proportioning of members 18. Which type of steel is most commonly used in general construction? Why? Mild Steel is most commonly used in general construction because of its durability and malleability 19. What are Black bots? Where are they used? Black bolts made from M.S shank left unfinished remain loose in holes resulting in large deflections. It is used during erection and for temporary structures 20. How the rolled steel beams are classified? Indian Standard junior beams (ISLB) Indian Standard light beams (ISLB) Indian Standard medium weight beams (ISMB) Indian Standard wide flange beams (ISWB) 21. Define permissible stresses and Working stresses. yield stress Permissible stresses = factor of safety Working stresses: The stresses used in practical design are working stresses and they should never exceed the permissible stresses specified by codes. 22. Explain ISLB 200? ISLB 200 means Indian Standard light gauge beams of depth 200mm 23. Name the types of beam connections? Framed connections Seated connections Stiffened connections and Unstiffened connections 24. What is meant by framed connections? A framed connection is the one when a beam is connected to girder or a stanchion by means of two angles placed on the two sides of the web of the beam 25. When the seated beam connections are preferred and name the types? When a beam is connected to the flange (or the web) of a steel stanchion, the width of the flange (or the depth of the web) may be insufficient to accommodate the connecting angles, in such cases framed connection is not suitable and seated connection is preferred. 26. What is unstiffened seat connection? The seated connection is a horizontal angle with its horizontal leg at its top is used to

102 receive the beam on it, in such a case it is called unstiffened seat connection 27. What is stiffened seat connection? In addition to the seat angle, a web cleat is provided when the beam is connected to a beam and a flange cleat is used when the beam is connected to a stanchion. The angle cleats are essential because they keep the beam stable in a vertical position and prevent it from lateral buckling 28. What is meant by throat thickness? It is the perpendicular distance from the root to the hypotenuse of the largest isosceles right-angled triangle that can be inscribed within the weld crosssection. Throat thickness = 0.7 x size of the weld 29. What is plug weld and slot weld? Slot weld is one of the type of weld used to join the two touching contiguous components by a fillet weld round the periphery of a slot in one component so as to join it the surface of other component. Plug weld is made by filling in a hole in one part with filler metal so as to join it to the contiguous part exposed through a hole. 30. Mention the advantages and disadvantages of welded connections? Advantages: Economy Rigidity Aesthetic effect Versatility Disadvantages: Requires skilled labour Joints are over rigid Difficult to inspect 31. State the common defects in welding Incomplete fusion Incomplete penetration Porosity

103 Slag inclusions Cracks Under cutting 32. Name the types of bolted connections? Ordinary unfinished 0r black bolts Turned and fitted bolts High strength bolts 33. Write the advantages of high strength bolts? As there is no slip between the plates, the joint is rigid Alternating loads cause little variation of the stresses in the bolts; hence fatigue strength is also high. No shearing or bearing stresses occur in bolts. High strength of the joint due to high frictional resistance is obtained. 34. Write down the interaction equation? 35. How will you calculate the number of rivets? P n = strength of a rivet R = P where P is the pull or push carried by the member. UNIT II - TENSION MEMBERS 1. Tie member Explain. Tie member or a tension member is a structural element carrying an axial tensile force. For the tensile force to be axial it is necessary that the load be applied through centroid of the section of the member. But under axial tension the member gets straightened and eccentricity of the force decreases. The member is almost straight at the yield point and the distribution of the stress over the section becomes uniform. 2. How the tension members are classified? It is classified according to its shape and size and it depends upon the type of structures.

104 Wires and cables Used in hoists, derricks, suspenders in suspension bridges Rods and bars Used in radio tower, small spanned roof trusses with different crosssections such as round, rectangular or square 3. What is meant by single section member? Structural sections such as I-section, T-section, angle, and channel are used as tension members. As the structural shapes provide more rigidity than cables or rods, their buckling tendency under compression load is reduced and so can be used where reversal of stress takes place. 4. Under what circumstances you would go for Built-up members? When single structural sections fail to provide required strength and stiffness to carry tension as well as compression in case of reversal of stresses, built-up members are used. 5. How the tension members are selected? It depends upon the various factors such as type of fabrication, type of structure, type of loading, i.e. whether the member undergoes reversal of stresses, and the maximum tension to be carried by the member. 6. Sketch the different forms a single section member 7. Sketch the different forms Built-up members. Built up members 8. How is net effective area of single angle used as tension member calculated? Net effective area = A1 + A2K A1- Net area of connected leg A2- area of outstanding leg K = 3A1

105 3A1 + A2 9. What is net sectional area of a tension member? How it is calculated in chain riveting? The gross sectional area of the tension member minus the sectional area of the maximum number of rivet/bolt holes is known as net sectional area. In case of chain riveting, anet= (b nd) t 10. What is Lug angle? A larger length of the tension member and the gusset plate may be required sometimes to accommodate the required number of connection rivets. But this may not be feasible and economical. To overcome this difficulty lug angles are used in conjunction with main tension members at the ends. It provides extra gauge lines for accommodating the rivets and thus enables to reduce the length of the connection. They are generally used when the members are of single angle, double angle or channel sections. 11. What are the main objectives of the lug angles? They produce eccentric connections, due to rivets placed along lug angle. The centroid of the rivet system of the connection shifts, causing eccentric connection and bending moments.stress distribution in the rivets connecting lug angles is not uniform. It is preferred to put a lug angle at the beginning of the connection where they are more effective and not at the middle or at the end of the connection.rivets on the lug angles are not as efficient as those on the main member.the out-standing leg of the lug angle usually gets deformed and so the load shared by the rivets on the lug angles is proportionately less. 12.What is meant bytensionsplice?

106 Splicing of tension members is necessary when the required length of the member is more than the length available or when the member has different crosssections for different parts of its length. If actual member is to be of greater length, two or more lengths shall have to be spliced at the joints. 13. What is the net effective area of a pair of angles placed back to back connected by one leg of each angle subjected to tension? Anet = A1 + A2 K A1 - effective cross section area of connected legs A2 Gross area of outstanding legs K = 5A1 5A1 + A What is the permissible stress in axial tension? As per IS: , the permissible stress in axial tension σat = 0.6 fy N/mm 2 fy = minimum yield stress in steel in N /mm How will you join the member of different thickness in a tension member? When tension member of different thickness are to be jointed, filler plates may be used to bring the member in level. 16. What happens when a single angle with one leg is connected to a gusset plate, which is subjected to an eccentric load? The rivets connecting the angle to the gusset plate does not lie on the line of action of load. This gives rise to an eccentric connection due to which the stress distribution becomes non-uniform. The net cross-sectional area of such a section is reduced to account for this non- uniform stress distribution resulting from eccentricity. 17. What is the allowable stress in axial tension for channel section? The allowable stress in axial tension for channel section is depends upon the diameter of the section Diameter σat = 0.6 fy N/mm 2 Upto 20mm 150

107 20mm to 40 mm 144 Over 40 mm What are tacking rivets? Why are they essential in compression members? Rivets used to connect long length of members to reduce the effective length of individual part 19. Write down the Steinman s formula s 2 Anert = t (b - nd) + m 4g Where n = no. of rivets in the section considered m= no. of zig zags or inclined lines. 20. What will be the maximum pitch when the angles are placed back to back? The maximum pitch when the angles are placed back to back is 1mm. UNIT III - COMPRESSION MEMBERS 1. What do you mean by compression members? Compression members are the most common structural elements and it is termed as columns, struts, posts or stanchions. They are designed to resist axial compression. 2. Name the modes of failures in a column. 3. Define slenderness ratio Failure of the cross-section due to crushing or yielding Failure by buckling, due to elastic instability Mixed mode of failure due to crushing and buckling It is defined as the ratio of effective length l of the column to the least radius of gyration r of the column section. 4. Classify the columns according to the slenderness ratios. Short columns - l/r <60 Medium columns - 60< l/r <100 Long columns - l/r > Distinguish column and strut

108 Columns are the vertical members which carry the loads to the beams, slabs etc, generally they are used in ordinary buildings. Struts are commonly used for compression members in a roof truss; it may either be in vertical position or in an inclined position. 6. What is meant by stanchions? 7. What is Post? These are the steel columns made of steel sections, commonly used in buildings. It is loosely used for a column, but in truss bridge girders, end compression members are called end posts. 8. What is a boom? It is the principal compression member in a crane. 9. State the assumptions that made in Euler s theory. The axis of the column is perfectly straight when unloaded. The line of thrust coincides exactly with the unstrained axis of the strut. The flexural rigidity EI is uniform The material is isotropic 10. Why the lateral systems are provided in compound columns? If the plates are not connected throughout their length of the Built up sections, lateral systems may be provided, which act as a composite section. In such cases the load carrying elements of the built-up compression member in the relative position, without sharing any axial load. However when the column deflects, the lateral system carries the transverse shear force. 11. Name the lateral systems that are used in compound columns and which is the mostly used one? Lacing or latticing, Battening or batten plates, perforated cover plates. Lacing or latticing is the most common used lateral system and the sections are flats, angles and channels. 12. What will be the thickness for the single and double lacing bars? The thickness of flat lacing bars shall not be less than one-fortieth of the length between the inner end rivets or welds for single lacing, and one-sixtieth of the length for double lacing. 13. What is the purpose of providing battens in compound steel columns?

109 Batten plates consist of flats or plates, connecting the components of the built-up columns in two parallel planes. These are used only for axial loading. Battening of the composite column should not be done if it is subjected to eccentric loading or a applied moment in the plane of battens. 14. What is the thickness of a batten plate? The thickness of batten plate shall not be less than one fiftieth of the distance between the inner most connecting lines of rivets or welds. This requirement eliminates lateral buckling of the batten. 15. Where the perforated cover plates are used and mention its advantages? They are mostly used in the box sections, which consist of four angle sections so that the interior of column remains accessible for painting and inspection. Advantages: They add to the sectional area of column and the portions beyond the perforation share axial load to the extent of their effective area. There is economy and fabrication and maintenance Perforations conveniently allow the riveting and painting work on the inside portion. 16. Name the types of column base? Slab Base, which is a pinned base. Gusseted base, which is a rigid base. 17. State the purpose of column base? The base of the column is designed in such a way to distribute the concentrated column load over a definite area and to ensure connection of the lower column end to the foundation. It should be in adequate strength, stiffness and area to spread the load upon the concrete or other foundations without exceeding the allowable stress. 18. Give the difference between slab base and gusseted base for steel columns. Slab base is a thick steel base plate placed over the concrete base and connected to it through anchor bolts. The steel base plate may either be shop-welded to the stanchion,else

110 can be connected at the site to the column through cleat angles. The column is faced for bearing over the whole area. In a gusseted base, part of the load is transmitted from the stanchion through the gusseted base plate. The gussets and stiffeners support the base slab against bending and hence a thinner base plate can be used. The gussets serve for more or less uniform transmission of the force field from the column to the base plate. The gussets itself resists the bending as double cantilever beam supported on flanges of the column. 19. What is slab base and for what purpose is it provided? The base plate connected to the bottom of the column to transfer over wider area is known as slab base. Column end is machined to transfer the load by direct bearing. No gusset materials are required. 20. When the slenderness ratio of compression member increases, the permissible stress decreases. Why? The section must be so proportioned that it has largest possible moment of inertia for the same cross-sectional area. Also the section has approximately the same radius of gyration about both the principal axes. UNIT-IV BEAM 1.What is a Beam? A beam is a structural member, which carries a load normal to the axis. The load produces bending moment and shear force in the beam. 2. What is meant by castellated beam? A rolled beam with increased depth is to be castellated. To obtain such sections, a zigzag line is cut along the beam by an automatic flame-cutting machine. The two halves thus produced are rearranged so that the teeth match up and the teeth are then welded together. 3. How the beams are failed? Bending failure 109

111 Shear failure Deflection failure The designs are based on these three failures which are to be determined. 4. What do you mean by bending failure? Bending failure may be due to crushing of compression flange or fracture of the tension flange of the beam. Instead of failure due to crushing, the compression flange may fail by a column like action with side ways or lateral buckling. Collapse would follow the lateral buckling. 5. What is the maximum deflection that to be allowed in steel beams? The deflection of a member, shall not be such as to impair the strength or efficiency of the structure and lead to finishing. not exceed 1/325 of the span. 6. What is web crippling? The deflection is generally should Web crippling is the localized failure of a beam web due to introduction of an excessive load over a small length of the beam. It occurs at point of application of concentrated load and at point of support of a beam. A load over a short length of beam can cause failure due to crushing and due to compressive stress in the web of the beam below the load or above the reaction. This phenomenon is also known as web crippling or web crushing. 7. What are laterally supported beams? The beams which are provided with the lateral supports either by embedding the compression flange in the concrete slab or by providing effective intermediate (support) restraints at a number of points to restrain the lateral buckling is called laterally supported beams. 8. Mention the advantages of using rolled steel wide flange section as beams More section modulus Lesser area Economical 110

112 9. Why does buckling of web occur in beams? Diagonal compression due to shear Longitudinal compression due to bending Vertical compression due to concentrated loads 10. What are the permissible stresses used in the beams? The permissible stresses, which are used in the beams are bending and shear stress.bending Stress For laterally supported beams, σbt or σbc = 0.66 f y For laterally unsupported beams, σ = bc Shear Stress 0.66 [( f cb ) n + ( y f fcb. f y ) n ] 1/ n, Where n is assumed to be 1.4 τvm = 0.45 f y, τvm = maximum permissible shear stress 11. Under what situations the plated beams are used? When a bending moment is large which cannot be resisted by the largest available rolled beam section The depth of the beam is restricted due to headroom requirements. 12. Why intermediate stiffeners are required for plate girders? The web of the plate girder relatively being tall and thin it is subjected to buckling. Hence it is stiffened both vertically and horizontally using intermediate stiffeners. 13. What do you mean by curtailment of flanges? The section of a plate girder is to be designed first at mid span. The bending moment will goes on decreasing towards the supports. Hence the flange plates, provided at the maximum section can be curtailed. 14. What is the purpose of providing the bearing stiffener? It prevents the web from crushing and buckling sideways, under the 111

113 action of concentrated loads It relieves the rivets connecting the flange angles and web, from vertical shear. 15. Name the components of a plate girder. 112

114 Web plate Flange plate Flange angles Web splice plates Flange splice plates Vertical or transversestiffeners Bearing stiffeners Longitudinal or horizontal stiffeners End bearings or end connections 16. Mention the basic design assumptions of a plate girder? The web plate resists the shear force. The shear stress is uniformly distributed over whole cross sectional area of web. The flanges resist the bending moment 17. Where the plate girders are used? The plate girders are used in the buildings where the span is more and heavy loads are expected and in the bridges. Most commonly they are used in the bridges. 18. What are the methods that are adopted to determine the flange design? Flange area method Moment of inertia method The former method is an approximate method, which is used for determining the trial section. In this method, it is assumed that the stress distribution in the tension and compression flanges is uniform, whereas in the latter case it is the exact method and is recommended by the IS code. Generally, the section designed by the flange area method is checked by this method. 19. What is the economical depth of a plate girder? The economical depth of a plate girder is d =1.1 M σ bctw, where σ = permissible bending stress in compression in bc N/mm 2. tw = thickness of the web plate. 113

115 20. The pitch of the rivets connecting cover plates with flanges of rolled steel beam is designed for what force? These rivets are designed for horizontal shear between the flange plate and flange angles. Since the vertical load is transferred by the flange plates to the flange angles by direct bearing, there will be no vertical shear due to the vertical load. Here the rivets will be in single shear. UNIT V ROOF TRUSSES AND INDUSTRIAL BUILDINGS 1. Name the types of roofing systems. Flat roofing consists of either RCC construction or RSJ slab construction Sloping roofing 2. Where the steel roof trusses are used? Industrial buildings, workshop buildings, storage godowns, warehouse and even for residential buildings, school buildings, offices where the construction work is to be completed in a short duration of time. 3. Mention the advantages of a roof truss. Its mid-span depth is the greatest specially where bending moment in the span is the maximum Great economy. Sloping faces of trusses facilitate in easy drainage of rainwater. 4. What is the factor that is considered in the roof truss and why? The factor, which is considered in the roof truss, is pitch, it is defined as the ratio of the span length to the depth of the truss, is governed by the roofing material and other requirements such as ventilation and light. 5. How the trusses are classified according to the pitch? Small pitch - span depth ratio is more than 12 m Medium pitch - span depth ratio is between 5m to 12 m Large pitch - span depth ratio is 5 or less. 6. Sketch the various types of roof truss. 114

116 Design Of Steel Structures 7. Name the components of a roof truss. Principal rafter or top chord Bottom chord or main tie Ties Struts Sag tie Purlins Rafters Ridge line Eaves Panel points Roof coverings Shoe angle Base plate, anchor plate and anchor bolts 115

117 8. What is gantry girder and what are the forces that are acting on it? A gantry girder, having no lateral support in its length, has to withstand vertical loads from the weight of the crane, hook load and impact and horizontal loads from crane surge. 9. What is meant by purlins? Purlins are structural members which are supported on the principal rafter, and which run transverse to the trusses. The span of the purlins is equal to the center-tocenter spacing of the trusses. The purlins support the roof covering either directly or through common rafters. They are usually made of either an angle section or a channel section and are therefore subjected to unsymmetrical bending. 10. Why the bracings are provided? Bracing is required to resist horizontal loading in pin-jointed buildings, including roof trusses. Bracing of roof trusses and supporting columns provide still rigid structure. When wind blows normal to the inclined surface of the trusses, it is efficiently resisted by all the members of the truss and the wind forces are transferred to the supports at the ends of the truss. 11. Name the most common roof covering materials. Slates Tiles Lead sheets Zinc sheets Glass Corrugated aluminium sheets Galvanized corrugated iron sheets (G.I. sheets) Asbestos cement sheets (A.C. sheets) 12. Write the equation to calculate the design wind pressure. Design pressure is p = 0.6V 2 = (k k k V ) 2 116

118 z z b Vb = Basic wind speed in m/s at 10 m height k1 = Probability factor (or risk coefficient) k2 = Terrain, height and structure size factor k3 =Topography factor 13. Mention some of the requirements of a good joint. The line of thrust should pass through the C.G of the rivet group and the rivets should be symmetrically arranged about this line. For a tension member, the rivets should be so arranged that the area of the member joined is not reduced more than necessary. The number and the diameter of rivets should be sufficient to develop the maximum stresses induced in all the members at the connection. Members should be straight and bolts used to draw them together before the rivets are driven. 14. What are the conditions that to be satisfied for the end supports? The size of base plate should be sufficient so that the bearing pressure does not exceed the permissible value. Anchor bolts should be provided at one end to accommodate the thermal expansion of the truss. The lines of forces in rafter, bottom tie and vertical end reaction meet at a point. 15. Where the gantry girders are used? Gantry girders or crane girders carry hand operated or electric over head cranes in industrial buildings such as factories, workshops, steel works etc., to lift heavy materials, equipment etc., to carry them from one location to the other, within the building. 16. Sketch the various forms of gantry girders. Forms of gantry girders 117

119 17. What is drag force? This is caused due to the starting and stopping of the crane bridge moving over the crane rails as the crane m0oves longitudinally, i.e. in the direction of gantry girders. 18. What is the permissible deflection where the electrically overhead cranes operated over 500kN? The maximum vertical deflection for crane girder, under dead and imposed loads shall not exceed L/1000, where L is the span of the crane runway girder. 19. Define shoe angle. It is a supporting angle provided at the junction of the top and bottom chords of a truss. The reaction of the truss is transferred through the shoe angle. It is supported on the base plate. to the supports 20. What is panel point?these are the prominent points along the principal rafter, at which various members (i.e. ties and struts) meet. The distance of the principal rafter between any two panel point is termed as panel. This is caused due to the starting and stopping of the crane bridge moving over the crane rails as the crane m0oves longitudinally, i.e. in the direction of gantry girders. 18. What is the permissible deflection where the electrically overhead cranes operated over 500kN? The maximum vertical deflection for crane girder, under dead and imposed 117

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